The Quality <i>q</i>_<i>i</i> (gray) and Appeal <i>A</i>_<i>i</i> (red and blue) of song <i>i</i> in the two settings.

Abstract

<p>The settings only differ in the appeal of songs, and not in the quality of songs. In the first setting, the quality and the appeal for the songs were chosen independently according to a Gaussian distribution normalized to fit between 0 and 1. The second setting explores an extreme case where the appeal is negatively correlated with the quality used in setting 1. In this second setting, the appeal and quality of each song sum to 1.</p